Can you find out the remainder when 3^300 is divided by 5?

The square root of number 121 is "11". What is the square root of the number "12345678987654321."?

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

You need to arrange three 7 and mathematical symbols to form number 1?

Get total of 120 by using five zeros 0,0,0,0,0 and any one mathematical operator.
Do you ?

Christina, Allison and Lena are 3 daughters of John a well-known Mathematician, When I asked John the age of their daughters. He replied "The current age of her daughters is prime. Also, the difference between their ages is also prime."

How old are the daughters?

Our product and our sum always give the same answer. Who are we?

A man is walking down a road with a basket of eggs. As he
is walking he meets someone who buys one-half of his eggs
plus one-half of an egg.
He walks a little further and meets another person who buys
one-half of his eggs plus one-half of an egg.
After proceeding further he meets another person who buys
one-half of his eggs plus one half an egg. At this point, he
has sold all of his eggs, and he never broke an egg.
How many eggs did the man have to start with?

A number can be multiplied by multiple of nine
i.e 9 18 27 36 45 ...

and the resulting number consist of only one digit.

Can you identify the number ?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?